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Finding the Fourth Proportional to 2,067.90, 3,101.80 and 607.02

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Solution

The fourth proportional to 2,067.90, 3,101.80 and 607.02 is: 910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.90 : 3,101.80 = 607.02 : x
  2. Step 2: Convert to fraction form
    2,067.90/3,101.80 = 607.02/x
  3. Step 3: Cross multiply
    2,067.90x = 3,101.80 × 607.02
  4. Step 4: Simplify right side
    2,067.90x = 1,882,854.64
  5. Step 5: Solve for x
    x = 1,882,854.64/2,067.90
  6. Step 6: Final answer
    x = 910.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.